Pith Number

pith:GZ5J5Z2U

pith:2011:GZ5J5Z2UI6DFFL2PB5COX7734L

not attested not anchored not stored refs pending

Quantitative version of the Kipnis-Varadhan theorem and Monte Carlo approximation of homogenized coefficients

Antoine Gloria, Jean-Christophe Mourrat

arxiv:1103.4591 v2 · 2011-03-23 · math.PR · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZ5J5Z2UI6DFFL2PB5COX7734L}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:17:57.664413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367a9ee754478652af4f0f44ebfffbe2e57e5d888914bb0b7e64cba6c98de341

Aliases

arxiv: 1103.4591 · arxiv_version: 1103.4591v2 · doi: 10.48550/arxiv.1103.4591 · pith_short_12: GZ5J5Z2UI6DF · pith_short_16: GZ5J5Z2UI6DFFL2P · pith_short_8: GZ5J5Z2U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GZ5J5Z2UI6DFFL2PB5COX7734L \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 367a9ee754478652af4f0f44ebfffbe2e57e5d888914bb0b7e64cba6c98de341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c17231943fc3e20b5ca2a87fe360d898b2d0876f6e0037a3fdd09713baec75c",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-23T18:34:22Z",
    "title_canon_sha256": "d08cc485dd36eeef8ddf16ff6776a82c427839042e089cffd811be7b20c53780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4591",
    "kind": "arxiv",
    "version": 2
  }
}